document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110066>Question 1110066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This quarter, there is a 50% chance that Jason will pass accounting, a 60% chance the he will pass english, and 80% chance that he will pass at least one of these two courses. What is the probability that he will pass both accounting and english?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725104 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=725104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The problem is over-constrained; however, the constraints are consistent with one another.<br><BR>\n" );
document.write( "To calculate the probability that he passes both classes, you only need to multiply the probabilities of his passing each class: 0.5*0.6 = 0.3.<br><BR>\n" );
document.write( "With those numbers, the given information that there is an 80% chance of passing at least one of the courses is extraneous.<br><BR>\n" );
document.write( "P(pass both) = 0.3<BR>\n" );
document.write( "P(pass accounting only) = 0.5-0.3 = 0.2<BR>\n" );
document.write( "P(pass english only) = 0.6-0.3 = 0.3<br><BR>\n" );
document.write( "It follows (without having to be specified in the problem) that<BR>\n" );
document.write( "P(pass at least one) = 0.3+0.2+0.3 = 0.8.<br><BR>\n" );
document.write( "So the more complicated calculation shown by the other tutor, while valid, is more work than is required. </SPAN>\n" );
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